Question

Asked Oct 25, 2019

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Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7.

Find the 87th percentile.

Step 1

**Solution:**

From the given information, mean value is 50, standard deviation value is 7. Let the random variable *X* follows normal distribution with population mean as 50 and standard deviation score as 7.

Step 2

**The 87th percentile is obtained below:**

From Excel, NORM.INV(0.87,50,7)=**57.8847**.

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